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u\\in H^{1}(\\mathbb{R}^{N}), & \\end{array}% \\right. \\end{equation*}% where $N\\geq 1,$ $\\lambda>0$ is a parameter, $M(t)=am(t)+b$ with $a,b>0$ and $m\\in C(\\mathbb{R}^{+},\\mathbb{R}^{+})$, $V\\in C(\\mathbb{R}^{N},\\mathbb{R}^{+})$ and $f\\in C(\\mathbb{R}^{N}\\times \\mathbb{R}, \\mathbb{R})$ satisfying $\\lim_{|u|\\rightarrow \\infty }f(x,u) 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